For any statements p, q, prove that
a) ¬(p ↓ q) ⇔ (¬p ↑ ¬q)b) ¬(p ↑ q) ⇔ (¬p ↓ ¬q)
a) ¬(p ↓ q) ⇔ (¬p ↑ ¬q)
b) ¬(p ↑ q) ⇔ (¬p ↓ ¬q)
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